Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car Pobserves this speed via radar. The driver of car A sees and reacts very unwisely to the police car P. Car A is traveling at VA = 122 km/h as it passes P, but over the next 4.6 seconds, the car uniformly accelerates to 148 km/h, after which that speed is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 4.7 m/s² until a speed of 164 km/h is achieved, and that speed is then maintained. Determine the distances required for the police officer to overtake car A. A VA P

Car A is traveling at a location where the speed limit is 100 km/h. The police officer in car Pobserves this speed via radar. The driver of car A sees and reacts very unwisely to the police car P. Car A is traveling at VA = 122 km/h as it passes P, but over the next 4.6 seconds, the car uniformly accelerates to 148 km/h, after which that speed is maintained. At the moment when A passes P, the police car begins to accelerate at the constant rate of 4.7 m/s² until a speed of 164 km/h is achieved, and that speed is then maintained. Determine the distances required for the police officer to overtake car A. A VA P

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

On your way back from the lake, you’re worst friend is driving and trying to post some stupid selfies toInstagram. Just then, you look up to see a train approaching the crossing near the Roadhouse Grilltravelling at 30 m/s, 60 m from the train crossing. You’re traveling 20 m/s at a distance of 45 m away andyour “friend” decides (foolishly) to punch it and try to beat the train. If his reaction time is half a second,what minimum acceleration does the car need to avoid certain calamity? [4.4 m/s2]
Suppose a migrating bird flies at a constant altitude of 5 km, with a velocity of 42 km/h. At time t = 0 the bird passes directly above a radar station, where t is measured in hours. (a) How fast is the distance between the bird and the radar station changing after 10 minutes? Round your final answer to 2 decimal places and provide units. (b) How fast is the distance between the bird and the radar station changing at time t = 0, i.e. when the bird is directly above the radar station? Is this reasonable? Explain briefly.
A person is driving along a straight highway at a speed of 21.0 m/s when the traffic light which is 43.0 m ahead turns yellow. Because of his reaction time, there's a delay of 0.10s before the man steps on the brakes. The car then slows with a deacceleration of 4.00 m/s^2. By how much distance does the driver miss the traffic light line?
At time t = 0, a car moving along the +-axis passes through a = 0 with a constant velocity of magnitude vo. At some time later, t₁, it starts to slow down. The acceleration of the car as a function of time is given by: a 2 (t) = { e(t_t₁) -c(t 0 ≤ t ≤t₁ t₁ < t < t₂ where c is a positive constants in SI units, and t₁ < t ≤ t₂ is the given time interval for which the car is slowing down. The goal of the problem is to find the car's position as a function of time between t₁ < t < t2. Express your answers to the following questions using the following as needed: v_ for vo, t_1 for t₁, c, t. (Part a). What is v (t), the velocity of the car as a function of time during the time interval 0 ≤ t ≤t₁? v (t) = (Part b). What is x (t), the position of the car as a function of time during the time interval 0 ≤ t ≤ t₁? x (t) = (Part c). What is v (t), the velocity of the car as a function of time during the time interval t₁ < t
Car A parked along the side of a highway and car B is traveling opposite to Car A at a constant velocity of 25 m/s. At t=0s, Car A starts and accelerates at a constant rate. While car B begins to slow down with a constant acceleration of one-fifth that of the acceleration of Car A at t=5s. Believing that when the cars pass each other Car A traveled 95 meters and that Va=Vb, a) Determine the acceleration of Car A b) Time when the vehicles pass each other c) Distance between the vehicles at t=0s
An object is moving along the x-axis. At t = 0 it is at x = 0. Its x-component of velocity u, as a function of time is given by vx(t) = at - Bt³, where a = 8.0 m/s² and 3 = 4.0 m/s4. (a) At what nonzero time t is the object again at x = 0? (b) At the time calculated in part (a), what are the velocity and acceleration of the object (magnitude and direction)?
A fly is buzzing through the air at 0.1 m/d when a gust of wind comes and gives it an acceleration of 0.2 m/s^2 for 4.7 seconds. How far has the fly traveled during this time frame, being blown forward?
Situation 02. A particle is observed to start at rest and accelerates at a = 30 + 2t, where t is in seconds, until its velocity is 398.20 m/s. It then hits an obstruction and the acceleration is given by a = -0.003v², until the velocity decreases to 98.20 m/s. Determine the total distance the particle travelled, and the total time of travel.
A particle moving along a straight line has initial velocity v(0) = 1 m/s, and acceleration a(t) = sin(I-t) + cos(t+1) (in m/s?). (a. Find the velocity at time t. (b) Find the average velocity during the time interval [I, 211]. (c) Find the distance traveled during the time interval [1, 2I].